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Weakest link model with imperfection: Application to three point bend of a tungsten carbide
Grindsjön Research Centre, Swedish Defence Research Agency, Tumba, Sweden.
Grindsjön Research Centre, Swedish DefenceGrindsjön Research Centre, Swedish Defence Research Agency, Tumba, Sweden Research Agency, Tumba, Sweden.
Linköping University, Department of Management and Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2007 (English)In: International Journal of Refractory Metals and Hard Materials, ISSN 0263-4368, Vol. 25, no 1, 6-10 p.Article in journal (Refereed) Published
Abstract [en]

A general weakest link model adapted to finite element analyses recently proposed by the authors is in this paper applied and optimized against three point bending experiments on two geometrically identical specimens with different sizes. Influence of the choice of description of material imperfections in the model on the result is investigated together with two different types of failure criteria. Due to the choice of failure criteria only one finite element analysis has to be performed. The results show that the model can be fitted well to the experimental results.

Place, publisher, year, edition, pages
Elsevier, 2007. Vol. 25, no 1, 6-10 p.
Keyword [en]
Finite element method, Failure initiation, Size effect, Random imperfections
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-13414DOI: 10.1016/j.ijrmhm.2005.10.015ISI: 000242508800002OAI: diva2:20688
Available from: 2005-11-09 Created: 2005-11-09 Last updated: 2012-08-24Bibliographically approved
In thesis
1. On failure modelling in finite element analysis: material imperfections and element erosion
Open this publication in new window or tab >>On failure modelling in finite element analysis: material imperfections and element erosion
2005 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This dissertation concerns failure modelling with material imperfections and element erosion in finite element analyses. The aim has been to improve the element erosion technique, which is simple to use and implement and also computationally inexpensive. The first part of the dissertation serves as an introduction to the topic and as a summary of the methodologies presented in the following part. The second part consists of seven appended papers. In paper A the standard element erosion technique is used for projectile penetration. In papers B and C a methodology that accounts for size effects is developed and applied to crack initiation in armour steel and tungsten carbide. A methodology to better predict the stress state at crack tips with coarse meshes is presented and applied to armour steel in paper D. Papers E and F concern the development of selective mass scaling which allows for larger time steps in explicit methods. Finally, in paper G the previously presented methodologies are used in combination and validated against experimental results on tungsten carbide. The computations show good agreement with the experimental results on failure initiation for both materials, while the computational results on the propagation of cracks show better agreement for the armour steel than for the tungsten carbide.

Place, publisher, year, edition, pages
Institutionen för konstruktions- och produktionsteknik, 2005
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 973
finite element method, element erosion, material failure, material imperfections, crack-tip
National Category
Applied Mechanics
urn:nbn:se:liu:diva-4679 (URN)91-85457-34-5 (ISBN)
Public defence
2005-12-02, C3, C-huset, Campus Valla, Linköpings universitet, Linköping, 10:15 (English)
On the day of the public defence of the doctoral thesis, the status of articles I, III and IV was Accepted and article VII was Submitted.Available from: 2005-11-09 Created: 2005-11-09 Last updated: 2010-04-06

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